10605712 has 20 divisors (see below), whose sum is σ = 22129660. Its totient is φ = 4894848.

The previous prime is 10605703. The next prime is 10605719. The reversal of 10605712 is 21750601.

It can be written as a sum of positive squares in 2 ways, for example, as 3444736 + 7160976 = 1856^2 + 2676^2 .

It is a super-2 number, since 2×10605712² = 224962254053888, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10605719) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 25287 + ... + 25702.

It is an arithmetic number, because the mean of its divisors is an integer number (1106483).

Almost surely, 2^10605712 is an apocalyptic number.

It is an amenable number.

10605712 is an abundant number, since it is smaller than the sum of its proper divisors (11523948).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10605712 is a wasteful number, since it uses less digits than its factorization.

10605712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51010 (or 51004 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 22.

The square root of 10605712 is about 3256.6412145031. The cubic root of 10605712 is about 219.7083739297.

The spelling of 10605712 in words is "ten million, six hundred five thousand, seven hundred twelve".